Abstract
We explore properties of $L^{r}$-derivates with respect to a monotone increasing Lipschitz function. We then define $L^{r}$-ex-major and $L^{r}$-ex-minor functions with respect to a monotone increasing Lipschitz function and use these to define a Perron-Stieltjes-type integral which extends the integral of L. Gordon.
Citation
Eyad Massarwi. Paul Musial. "A Stieltjes Type Extension of the $L^{r}$-Perron Integral." Real Anal. Exchange 40 (2) 291 - 308, 2015.
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